According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) ______, _______ b. Find the probability that the person is between 63.6 and 64.8 inches. ____ c. The middle 50% of Martian heights lie between what two numbers? Low: ______ inches High: _______ inches

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) __, _ b. Find the probability that the person is between 63.6 and 64.8 inches. c. The middle 50% of Martian heights lie between what two numbers? Low: inches High: ___ inches

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: If we know that the length of time it takes a college student to find a parking spot in the library…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: The average student loan debt for college graduates is $25,650. Suppose that that distribution is…

Q: The time per week a student uses a lab. computer is normally distributed, with a mean of 6.2 hours…

Q: Healty people have body temperatures that are normally distributed with a mean of 98.20F and a…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: a. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Q: The amount of time between taking a pain reliever and getting relief is normally distributed with a…

A: Let us denote X= time between taking a pain reliever and getting relief Given that X follows a…

Q: A Grade I wrist sprain is considered to be a mild injury, where the recovery time is normally…

A: Recovery time is normally distributed with an average of 22 days and a standard deviation of 6.5…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Sampling distribution of x¯ : If simple random sample of size n is drawn from Normal population with…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

Q: Q6-2. The height of adult female in a certain city is normally distributed with a mean of 164.9 and…

Q: The porosity of Wara formation is normally distributed with a mean of 18% and a standard deviation…

A: Given, Mean = 18% Standard deviation = 4% The distribution is normal distribution. To…

Q: The average student loan debt for college graduates is $25,300. Suppose that that distribution is…

A: Given: μ=25300σ=13600

Q: The average time a person spends at the Barefoot Landing Seaquarium is 94 minutes. The standard…

A: We have given that. X~N( μ , ?^2 ) μ=94 , ?=18 Z-score =( x - μ )/?

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Solution

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Solution-: Let, X= The height for Martian adult males Given: We find (a) The distribution of X…

Q: Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a…

A: The normal distribution is th most usefull theoretical distribution for continuous variable. Many…

Q: The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002…

A: Solution

Q: The average student loan debt for college graduates is $25,450. Suppose that that distribution is…

A: a) If a random variable X follows normal distribution with mean µ and standard deviation σ, then…

Q: The average student loan debt for college graduates is $25,500. Suppose that that distribution is…

A: a. From the given information, the mean and standard deviation are $25,500 and $11,850. The…

Q: Healty people have body temperatures that are normally distributed with a mean of 98.20° F and a…

A: Given Data Population Mean,μ = 98.2 Population Standard Deviation,σ = 0.62

Q: The average sunshine hours per year in a city have a normal distribution with a mean of 1,200 hours…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: An airliner carries 350 passengers and has doors with a height of 74 in. Heights of men are normally…

A: (a) Obtain the Z-score for the random variable X equals 74. The Z-score for the random variable X…

Q: 1) The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard…

A: Given Data: Let X represent the normal distribution mean=3.41 SD=0.02 X~ Norma (3.41, 0.022)

Q: 1. The mean systolic blood pressure in a certain population of men between the ages of 20 and 24 is…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of μ=48…

Q: The average height of flowering cherry trees in a certain nursery is 10.5 feet. If the heights are…

Q: The average student loan debt for college graduates is $25,350. Suppose that that distribution is…

A: a) From the given information, the mean and standard deviation are $25,350 and $12,200. The…

Q: The duration of gestation in humans has a normal distribution, with an average of approximately 269…

A: Given, Mean μ = 269 Standard deviation σ = 16 Let X be gestation period

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: What is the probability that a randomly selected adult from this age group will get

Q: The average daily high temperature in June in LA is 77◦F with a standard deviation of 5◦F. Suppose…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

Q: For a particular elevator, the average weight of a person who enters the elevator is 165.347 pounds…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The average student loan debt for college graduates is $25,300. Suppose that that distribution is…

A: Given Data Population Mean,μ = 25300.0 Population Standard Deviation,σ = 11550.0

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Given: Let X denote the height of the adult males. The random variable X is normally distributed…

Q: The average daily high temperature in June in LA is 79°F with a standard deviation of 6°F. Suppose…

A: Note: As per the guidelines, we are only allowed to solve three subparts, please post the other…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Normal distribution: A continuous random variable x is said to follow normal distribution with…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Here's, mean is 64 and standard deviation is 2.3. We will use z-standard normal distribution.

Q: The amount of time between taking a pain reliever and getting relief is normally distributed with a…

A: The mean and standard deviation are μ=22,σ=5 so the probability that the time is atleast 30 minutes…

Q: The average student loan debt for college graduates is $25,650. Suppose that that distribution is…

A: Given: Mean, μ= 25650 Standard deviation, σ= 14350 (b) Probability that college graduates has…

Q: The average student loan debt for college graduates is $25,050. Suppose that that distribution is…

A: The given question requires accurate results, Hence I will use excel to find the probability.…

Q: The average student loan debt for college graduates is $25,050. Suppose that that distribution is…

A: b. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: From the provided information, Mean (µ) = 67 Standard deviation (σ) = 2.5 Let X be a random variable…

Q: The monthly salaries of employees working in a company have a standard normal distribution with an…

A: Given Data: Let x represent the random variable Mean=1700 Standard deviation=500 X~ Normal (1700,…

Question

100%

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,) ______, _______

b. Find the probability that the person is between 63.6 and 64.8 inches. ____

c. The middle 50% of Martian heights lie between what two numbers?
Low: ______ inches
High: _______ inches

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution